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A simple a-posteriori error estimation for adaptive BEM in elasticity
Chen, HB; Yu, DH; Schnack, E
2003-04-01
Source PublicationCOMPUTATIONAL MECHANICS
ISSN0178-7675
Volume30Issue:5-6Pages:343-354
AbstractIn this paper, the properties of various boundary integral operators are investigated for error estimation in adaptive BEM. It is found that the residual of the hyper-singular boundary integral equation (BIE) can be used for a-posteriori error estimation for different kinds of problems. Based on this result, a new a-posteriori error indicator is proposed which is a measure of the difference of two solutions for boundary stresses in elastic BEM. The first solution is obtained by the conventional boundary stress calculation method, and the second one by use of the regularized hyper-singular BIE for displacement derivative. The latter solution has recently been found to be of high accuracy and can be easily obtained under the most commonly used C-0 continuous elements. This new error indicator is defined by a L-1 norm of the difference between the two solutions under Mises stress sense. Two typical numerical examples have been performed for two-dimensional (2D) elasticity problems and the results show that the proposed error indicator successfully tracks the real numerical errors and effectively leads a h-type mesh refinement procedure.
Keyworda-posteriori error estimation adaptive boundary element method hyper-singular boundary integral equation adaptive mesh refinement
DOI10.1007/s00466-003-0409-4
Language英语
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000182789200001
PublisherSPRINGER-VERLAG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18158
Collection中国科学院数学与系统科学研究院
Corresponding AuthorSchnack, E
Affiliation1.Univ Karlsruhe, Inst Solid Mech, D-76128 Karlsruhe, Germany
2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
3.Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab MBDM, Hefei 230026, Anhui, Peoples R China
Recommended Citation
GB/T 7714
Chen, HB,Yu, DH,Schnack, E. A simple a-posteriori error estimation for adaptive BEM in elasticity[J]. COMPUTATIONAL MECHANICS,2003,30(5-6):343-354.
APA Chen, HB,Yu, DH,&Schnack, E.(2003).A simple a-posteriori error estimation for adaptive BEM in elasticity.COMPUTATIONAL MECHANICS,30(5-6),343-354.
MLA Chen, HB,et al."A simple a-posteriori error estimation for adaptive BEM in elasticity".COMPUTATIONAL MECHANICS 30.5-6(2003):343-354.
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